513312017 has 2 divisors, whose sum is σ = 513312018. Its totient is φ = 513312016.

The previous prime is 513312013. The next prime is 513312053. The reversal of 513312017 is 710213315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512388496 + 923521 = 22636^2 + 961^2 .

It is a cyclic number.

It is not a de Polignac number, because 513312017 - 2² = 513312013 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513311983 and 513312001.

It is not a weakly prime, because it can be changed into another prime (513312013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256656008 + 256656009.

It is an arithmetic number, because the mean of its divisors is an integer number (256656009).

Almost surely, 2^513312017 is an apocalyptic number.

It is an amenable number.

513312017 is a deficient number, since it is larger than the sum of its proper divisors (1).

513312017 is an equidigital number, since it uses as much as digits as its factorization.

513312017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 513312017 is about 22656.3902023248. The cubic root of 513312017 is about 800.6827593214.

The spelling of 513312017 in words is "five hundred thirteen million, three hundred twelve thousand, seventeen".